501,913

47 × 59 × 181

Starting at 501,913, the Collatz iteration reaches 1 after 195 steps. The first transition is 1505740; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 59 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 524,160

Proper Divisor Sum 22,247

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #501911 ← → #501931

Radix Representation

Decimal	501913
Binary	1111010100010011001 (19 bits)
Octal	0o1724231
Hexadecimal	0x7A899

Divisor Catalog (8)

1 47 59 181 2,773 8,507 10,679 501,913

Collatz Trajectory (195 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

501,913 1,505,740 752,870 376,435 1,129,306 564,653 1,693,960 846,980 423,490 211,745 635,236 317,618 158,809 476,428 238,214 119,107 357,322 178,661 535,984 267,992 133,996 66,998 33,499 100,498 50,249 150,748 75,374 37,687 113,062 56,531 169,594 84,797 254,392 127,196 63,598 31,799 95,398 47,699 143,098 71,549 214,648 107,324 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614

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